[SPLIT] x@w = 2^x/2^w, then (3@1)@3 = ...?

ararom

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Sep 20, 2007
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4
I have another problem:

If the operation @ is defined for all positive integers x and w by x @ w = 2^x / 2^w, then (3 @ 1) @ 3 = ...?

I substitute 3 and 1 as follows

3 @ 1 = 2^3 / 2^1 = 2^2 =4

then I evaluate the following

4 @ 3 = 2^4 / 2^3 = 2^1 = 2

is this correct?
 
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